Ramesh marks his article at Rs 6000 and after allowinga discount of 20%, he still earns 60% profit. What is the cost price (Rs in) of the article ?

Options

A. 3600
B. 4800
C. 3000
D. 4200

Answer

To find the cost price of the article, we can follow these steps:

### Step 1: Calculate the Selling Price after Discount
The marked price of the article is Rs. 6000, and Ramesh offers a discount of 20%.

To find the selling price (SP) after the discount, we can use the formula:
\[ \text{SP} = \text{Marked Price} - \text{Discount} \]

First, we calculate the discount:
\[ \text{Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} \]
\[ \text{Discount} = 6000 \times \frac{20}{100} = 6000 \times 0.20 = 1200 \]

Now, we can find the selling price:
\[ \text{SP} = 6000 - 1200 = 4800 \]

### Step 2: Relate Selling Price to Cost Price
We know that Ramesh earns a profit of 60%. The relationship between selling price (SP), cost price (CP), and profit percentage is given by:
\[ \text{SP} = \text{CP} + \text{Profit} \]
Where profit can be expressed as:
\[ \text{Profit} = \text{CP} \times \frac{\text{Profit Percentage}}{100} \]

Substituting this into the equation gives:
\[ \text{SP} = \text{CP} + \left(\text{CP} \times \frac{60}{100}\right) \]
\[ \text{SP} = \text{CP} \left(1 + 0.60\right) \]
\[ \text{SP} = \text{CP} \times 1.60 \]

### Step 3: Solve for Cost Price
Now, we can substitute the selling price we calculated into the equation:
\[ 4800 = \text{CP} \times 1.60 \]

To find the cost price (CP), we rearrange the equation:
\[ \text{CP} = \frac{4800}{1.60} \]

Calculating this gives:
\[ \text{CP} = 3000 \]

### Final Answer
The cost price of the article is Rs. 3000.

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